Find the exponential function that satisfies the given conditions.
-Initial mass $= 499 \mathrm {~g}$, halving once every 23 hours
A) $m ( t ) = 499 \cdot \left( \frac { 1 } { 2 } \right) ^ { 23 t }$
B) $m ( t ) = 499 \cdot 2 ^ { 23 t }$
C) $m ( t ) = 499 \cdot \left( \frac { 1 } { 2 } \right) ^ { t / 23 }$
D) $m ( t ) = 499 \cdot 2 ^ { t / 23 }$

Question

Quizplus · Accepted Answer

The correct exponential function for a quantity that halves every 23 hours is $m(t) = 499 \cdot \left(\frac{1}{2}\right)^{t/23}$, where $t$ is the time in hours. This formula correctly represents the halving process over time, with the exponent $t/23$ indicating that the halving occurs once every 23 hours.

Find the Exponential Function That Satisfies the Given Conditions =499 g= 499 \mathrm {~g}=499 g

Find the Exponential Function That Satisfies the Given Conditions $= 499 \mathrm {~g}$